Constitutive model for ferroelectric PZT ceramics under uniaxial loading

Smart Materials and Structures

Volumn 8, Issue 4, 1999, Pages 441-459

  Kamlah, Marc ^a   Jiang, Qing ^b  

^a KARLSRUHE INSTITUTE OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CERAMIC MATERIALS; HYSTERESIS; INTELLIGENT MATERIALS; LEAD COMPOUNDS; MATHEMATICAL MODELS; NUMERICAL METHODS; PHASE TRANSITIONS; RELIABILITY; THERMODYNAMIC STABILITY; THERMOMECHANICAL TREATMENT;

CLAUSIUS-DUHEM INEQUALITY; ELECTROMECHANICAL LOADING PATHS; ENGINEERING RELIABILITY ANALYSIS; LEAD ZIRCONATE TITANATE; MECHANICAL DEPOLARIZATION; THERMOELECTROMECHANICAL COUPLING PROPERTIES;

FERROELECTRIC MATERIALS;

EID: 0032598262     PISSN: 09641726     EISSN: None     Source Type: Journal    
DOI: 10.1088/0964-1726/8/4/302     Document Type: Article

References (42)

1. Bassiouny E, Ghaleb A F and Maugin G A 1988 Thermomechanical formulation for coupled electromechanical hysteresis effects - I. Basic equations, II. Poling of ceramics Int. J. Eng. Sci. 26 1279-306
2. Bassiouny E and Maugin G A 1989 Thermomechanical formulation for coupled electromechanical hysteresis effects-III. Parameter identification, IV. Combined electromechanical loading Int. J. Eng. Sci. 27 975-1000
3. Cao H and Evans A G 1993 Nonlinear deformation of ferroelectric ceramics J. Am. Ceram. Soc. 76 890-6
4. Chen P J 1980 Three dimensional dynamic electromechanical constitutive relations for ferroelectric materials Int. J. Solids Structures 16 1059-67
5. _1984 Hysteresis effects in deformable ceramics The Mechanical Behavior of Electromagnetic Solid Continua ed G A Maugin (Amsterdam: North-Holland) pp 137-43
6. Chen P J and Marsden MM 1981 One dimensional polar responses of the electrooptic ceramic PLZT 7/65/35 due to domain switching Acta Mech. 41 255-64
7. Chen P J and Peercy P S 1979 One dimensional dynamic electromechanical constitutive relations of ferroelectric materials Acta Mech. 31 231-41
8. Chen P J and Tucker T J 1981 Determination of the polar equilibrium properties of the ferroelectric ceramic PZT 65/35 Acta Mech. 38 209-18
9. Cross L E 1993 Ferroelectric ceramics: Tailoring Properties for specific applications Ferroelectric Ceramics: Tutorial Reviews, Theory, Processing, And Applications ed N Setter and E L Colla (Basel: Birkhäuser) pp 1-86
10. Cross L E 1995 Ferroelectric materials for electromechanical transducer applications Japan. J. Appl. Phys. 34 2525-32
11. Dunn M 1994 The effect of crack face boundary conditions on the fracture mechanics of piezoelectric solids Eng. Fract. Mech. 48 25-39
12. Fett T, Munz D and Thun G 1998 Nonsymmetric deformation behavior of lead zirconate titanate determined in bending tests J. Am. Ceram. Soc. 81 269-72
13. Frémond M 1989 Internal constraints and constitutive laws Mathematical Models for Phase Change Problems vol 88, ed J F Rodrigues (Basel: Birkhäuser) pp 3-18
14. Gaudenzi P and Bathe K J 1995 An iterative finite element procedure for the analysis of piezoelectric continua J. Intelligent Material Systems Structures 6 266-73
15. Govorukha V B, Munz D and Kamlah M 1998 Investigation of a bimaterial piezoelectric plane with an interface crack ZAMM 78
16. Hao T H, Gong X and Suo Z 1996 Fracture mechanics for the design of ceramic multilayer actuators J. Mech. Phys. Solids 44 23-48
17. Hom C L and Shankar N 1994 A fully coupled constitutive model for electrostrictive ceramic materials J. Intelligent Material Systems Structures 5 795-801
18. Huo Y and Jiang Q 1997 Modeling of domain switching in polycrystalline ferroelectric ceramics Smart Mater. Struct. 6 441-7
19. _1998 Modeling of domain switching in ferroelectric ceramics: An example Int. J. Solids Structures 35 1339-53
20. Hwang S C, Lynch C S and McMeeking R M 1995 Ferroelectric/ferroelastic interactions and a polarization switching model Acta Metall. Mater. 43 2073-84
21. Jaffe B, Cook W R and Jaffe H 1971 Piezoelectric Ceramics (London: Academic)
22. Jiang Q Y and Cross L E 1993 Effect of porosity on electric fatigue behavior in PLZT and PZT ceramics J. Mater. Sci. 28 4536-43
23. Jiang Q Y, Cao W and Cross L E 1994 Electric fatigue in lead zirconate titanate ceramics J. Am. Ceram. Soc. 77 211-15
24. Kamlah M and Tsakmakis C 1999 Phenomenological modeling of the non-linear electro-mechanical coupling in ferroelectrics Int. J. Solids Structures 36 669-95
25. Kim S J and Jiang Q 1997 Microcracking and electric fatigue of polycrystalline ferroelectric ceramics Smart Mater. Struct. S 321-6
26. Kumar S, Bhalla A S and Cross L E 1994 Smart ferroelectrics for acoustic and vibration control J. Intell. Mater. Syst. Struct. 5 678-82
27. Kumar S and Singh R N 1996 Crack propagation in piezoelectric materials under combined mechanical and electrical loadings Acta Mater. 44 173-200
28. Li S, Cao W and Cross L E 1991 The extrinsic nature of nonlinear behavior observed in lead zirconate titanate ferroelectric ceramic J. Appl. Phys. 69 7219-24
29. Lynch C S 1996 The effect of uniaxial stress on the electro-mechanical response of 8/65/35 PLZT Acta Mater. 44 4137-48
30. Maugin G A 1988 Continuum Mechanics Of Electromagnetic Solids (Amsterdam: Elsevier)
31. McMeeking R M 1989 Electrostrictive stresses near crack-like flaws ZAMP 40 615-27
32. Michelitsch T and Kreher W 1998 A simple model for the nonlinear material behavior of ferroelectrics Acta Mater. 46 5085-94
33. Newnham R E 1989 Electroceramics Rep. Prog. Phys. 52 123-56
34. Pak Y E 1992 Linear electro-elastic fracture mechanics of piezoelectric materials Int. J. Fracture 54 79-100
35. Parton V Z and Kudryavtsev B A 1988 Electromagnetoelasticity. Piezoelectrics and Electrically Conductive Solids (New York: Gordon and Breach)
36. Savi M, Braga A, Alves J and Almeida C 1998 Finite element model for trusses with shape memory alloy actuators Modelling and Control of Adaptive Mechanical Structures, Fortschritt-Berichte VDI vol 11/268, ed U Gabbert pp 115-24
37. Schäufele A and Härdtl K H 1996 Ferroelastic properties of lead zirconate titanate ceramics J. Am. Soc. 79 2637-40
38. Sosa H 1992 On the fracture mechanics of piezoelectric solids Int. J. Solids Structures 29 2613-22
39. Suo Z 1991 Mechanics concepts for failure in ferroelectric ceramics Smart Structures and Materials AD-vol 24 AMD-vol 123, ed A V Srinivasan (New York: ASME) pp 1-6
40. Suo Z, Kuo C M, Barnett D M and Willis J R 1992 Fracture mechanics for piezoelectric ceramics J. Mech. Phys. Solids 40 739-65
41. Wang Y 1997 Numerical simulation on fatigue behavior of ferroelectric ceramics Dissertation Thesis University of Nebraska-Lincoln
42. Yang W and Suo Z 1994 Cracking in ceramic actuators caused by electrostriction J. Mech. Phys. Solids 42 649-63